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Same curvature but different orientation of light cones? [duplicate]
Can there be two regions of spacetime which have the same curvature, but with their light cones oriented in different directions?
In the Stack Exchange question "General Relativity via light ...
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According the theory of general relativity, what is the role of causality in the changes of the curvature of spacetime? [closed]
In Einstein's equations the curvature of spacetime and energy-momentum-pressure density are correlated. Is it clear when changes in matter energy density affect causally to curvature and when changes ...
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General Relativity via light cones curvature?
Is it possible to reformulate general relativity as curvature of objects' light cones instead of curvature of spacetime?
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Does knowing the curvature of a patch of space-time determine all of space-time?
I think I read somewhere that knowing the curvature on a 3d slice of space-time is enough to determine the curvature of all 4D space-time everywhere?
Sort of like analytic continuation?
Is this true?...